A NON-COMMUTATIVE GENERALIZATION OF MTL-RINGS

Document Type : Original Manuscript

Authors

1 University of Yaounde1

2 University of Yaounde 1

3 Departement of Mathematics, University of Yaounde 1, Cameroon

10.22044/jas.2024.12946.1707

Abstract

The current work extends the class of commutative MTL-rings established by the authors to the non-commutative ones. That class of rings will be named generalized MTL-rings since they are not necessary commutative. We show that in the non-commutative case, a local ring with identity is a generalized MTL-ring if and only if it is an ideal chain ring. We prove that the ring of matrices over an MTL-ring is a non-commutative MTL-ring. We also study their representation in terms of subdirect
irreducibility.

Keywords

Journal of Algebraic Systems

Articles in Press, Accepted Manuscript
Available Online from 09 April 2024

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